Crystal system |
trigonal |
Space group number |
156 |
Hermann-Mauguin |
P3m1 |
Hall |
P 3 -2" |
Point group |
3m |
Normalized formula |
Zr3Mn8Al |
The number of formula units per unit cell |
1 |
The total number of atoms per unit cell |
12 |
The number of inequivalent sites per unit cell |
8 |
Structure search |
MP |
a (Å) |
4.8689 |
b (Å) |
4.8689 |
c (Å) |
8.1208 |
α (deg.) |
90.000 |
β (deg.) |
90.000 |
γ (deg.) |
120.000 |
Volume (Å3) |
166.722 |
Density (g/cm3) |
7.372 |
DFT calculations (details) | |
---|---|
Formation energy (vs. elemental phases) |
-207.9 meV/atom |
Formation energy above hull |
0 meV, (stable) |
Compounds with the same formula: Zr3Mn8Al |
1 entry found |
Compounds with the same elements: Zr-Mn-Al |
1 entry found |
Binary compounds in Zr-Mn system |
7 entries found |
Binary compounds in Zr-Al system |
No entries found |
Binary compounds in Mn-Al system |
11 entries found |
DFT calculations (details) | |
---|---|
Magnetic ordering |
Ferromagnetic |
Total magnetic moment |
2.90 μB/cell |
Averaged magnetic moment |
0.24 μB/atom |
Magnetic polarization, Js = μ0Ms |
0.20 T (= 159.2 emu/cm3) |
LMTO-GF calculations (details) | |
---|---|
Curie temperature, TC |
|
DFT calculations (details) | |
---|---|
Magnetic easy axis |
|
Magnetic hardness parameter, κ |
|
index | species | w | x | y | z | m (μB) | Esoc100 (meV) | Esoc001 (meV) |
---|---|---|---|---|---|---|---|---|
1 | Zr | 1c | 0.666667 | 0.333333 | 0.441664 | -0.07 | . | . |
2 | Zr | 1c | 0.666667 | 0.333333 | 0.065310 | -0.08 | . | . |
3 | Zr | 1a | 0.000000 | 0.000000 | 0.923419 | -0.06 | . | . |
4 | Mn | 1b | 0.333333 | 0.666667 | 0.502538 | 0.90 | . | . |
5 | Mn | 1b | 0.333333 | 0.666667 | 0.005050 | 1.28 | . | . |
6 | Mn | 3d | 0.504381 | 0.008762 | 0.745221 | 0.14 | . | . |
7 | Mn | 3d | 0.504381 | 0.495619 | 0.745221 | 0.14 | . | . |
8 | Mn | 3d | 0.991238 | 0.495619 | 0.745221 | 0.14 | . | . |
9 | Mn | 3d | 0.159974 | 0.319947 | 0.254218 | 0.19 | . | . |
10 | Mn | 3d | 0.159974 | 0.840026 | 0.254218 | 0.19 | . | . |
11 | Mn | 3d | 0.680053 | 0.840026 | 0.254218 | 0.19 | . | . |
12 | Al | 1a | 0.000000 | 0.000000 | 0.563719 | -0.02 | . | . |
site i | site j | distance (Å) | Jij (meV) | ||||
---|---|---|---|---|---|---|---|
1 | Zr | 1c | 2 | Zr | 1c | 3.06 | . |
1 | Zr | 1c | 3 | Zr | 1a | 4.82 | . |
1 | Zr | 1c | 4 | Mn | 1b | 2.85 | . |
1 | Zr | 1c | 5 | Mn | 1b | 4.52 | . |
1 | Zr | 1c | 6 | Mn | 3d | 2.82 | . |
1 | Zr | 1c | 7 | Mn | 3d | 2.82 | . |
1 | Zr | 1c | 8 | Mn | 3d | 2.82 | . |
1 | Zr | 1c | 9 | Mn | 3d | 2.87 | . |
1 | Zr | 1c | 10 | Mn | 3d | 2.87 | . |
1 | Zr | 1c | 11 | Mn | 3d | 2.87 | . |
1 | Zr | 1c | 12 | Al | 1a | 2.98 | . |
2 | Zr | 1c | 3 | Zr | 1a | 3.04 | . |
2 | Zr | 1c | 4 | Mn | 1b | 4.53 | . |
2 | Zr | 1c | 5 | Mn | 1b | 2.85 | . |
2 | Zr | 1c | 6 | Mn | 3d | 2.94 | . |
2 | Zr | 1c | 7 | Mn | 3d | 2.94 | . |
2 | Zr | 1c | 8 | Mn | 3d | 2.94 | . |
2 | Zr | 1c | 9 | Mn | 3d | 2.88 | . |
2 | Zr | 1c | 10 | Mn | 3d | 2.88 | . |
2 | Zr | 1c | 11 | Mn | 3d | 2.88 | . |
2 | Zr | 1c | 12 | Al | 1a | 4.93 | . |
3 | Zr | 1a | 4 | Mn | 1b | 4.43 | . |
3 | Zr | 1a | 5 | Mn | 1b | 2.89 | . |
3 | Zr | 1a | 6 | Mn | 3d | 2.83 | . |
3 | Zr | 1a | 7 | Mn | 3d | 2.83 | . |
3 | Zr | 1a | 8 | Mn | 3d | 2.83 | . |
3 | Zr | 1a | 9 | Mn | 3d | 3.01 | . |
3 | Zr | 1a | 10 | Mn | 3d | 3.01 | . |
3 | Zr | 1a | 11 | Mn | 3d | 3.01 | . |
3 | Zr | 1a | 12 | Al | 1a | 2.92 | . |
4 | Mn | 1b | 5 | Mn | 1b | 4.04 | . |
4 | Mn | 1b | 6 | Mn | 3d | 2.44 | . |
4 | Mn | 1b | 7 | Mn | 3d | 2.44 | . |
4 | Mn | 1b | 8 | Mn | 3d | 2.44 | . |
4 | Mn | 1b | 9 | Mn | 3d | 2.49 | . |
4 | Mn | 1b | 10 | Mn | 3d | 2.49 | . |
4 | Mn | 1b | 11 | Mn | 3d | 2.49 | . |
4 | Mn | 1b | 12 | Al | 1a | 2.85 | . |
5 | Mn | 1b | 6 | Mn | 3d | 2.56 | . |
5 | Mn | 1b | 7 | Mn | 3d | 2.56 | . |
5 | Mn | 1b | 8 | Mn | 3d | 2.56 | . |
5 | Mn | 1b | 9 | Mn | 3d | 2.50 | . |
5 | Mn | 1b | 10 | Mn | 3d | 2.50 | . |
5 | Mn | 1b | 11 | Mn | 3d | 2.50 | . |
5 | Mn | 1b | 12 | Al | 1a | 4.55 | . |
6 | Mn | 3d | 7 | Mn | 3d | 2.37 | . |
6 | Mn | 3d | 8 | Mn | 3d | 2.37 | . |
6 | Mn | 3d | 9 | Mn | 3d | 4.85 | . |
6 | Mn | 3d | 10 | Mn | 3d | 4.24 | . |
6 | Mn | 3d | 11 | Mn | 3d | 4.24 | . |
6 | Mn | 3d | 12 | Al | 1a | 2.85 | . |
7 | Mn | 3d | 8 | Mn | 3d | 2.37 | . |
7 | Mn | 3d | 9 | Mn | 3d | 4.24 | . |
7 | Mn | 3d | 10 | Mn | 3d | 4.85 | . |
7 | Mn | 3d | 11 | Mn | 3d | 4.24 | . |
7 | Mn | 3d | 12 | Al | 1a | 2.85 | . |
8 | Mn | 3d | 9 | Mn | 3d | 4.24 | . |
8 | Mn | 3d | 10 | Mn | 3d | 4.24 | . |
8 | Mn | 3d | 11 | Mn | 3d | 4.85 | . |
8 | Mn | 3d | 12 | Al | 1a | 2.85 | . |
9 | Mn | 3d | 10 | Mn | 3d | 2.34 | . |
9 | Mn | 3d | 11 | Mn | 3d | 2.34 | . |
9 | Mn | 3d | 12 | Al | 1a | 2.85 | . |
10 | Mn | 3d | 11 | Mn | 3d | 2.34 | . |
10 | Mn | 3d | 12 | Al | 1a | 2.85 | . |
11 | Mn | 3d | 12 | Al | 1a | 2.85 | . |
DFT calculations |
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LMTO-GF calculations |
|
References |
Materials Project: mp-1215704 |